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Finding the Fourth Proportional to 409.80, 564.30 and 311.16

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Solution

The fourth proportional to 409.80, 564.30 and 311.16 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 564.30 = 311.16 : x
  2. Step 2: Convert to fraction form
    409.80/564.30 = 311.16/x
  3. Step 3: Cross multiply
    409.80x = 564.30 × 311.16
  4. Step 4: Simplify right side
    409.80x = 175,587.59
  5. Step 5: Solve for x
    x = 175,587.59/409.80
  6. Step 6: Final answer
    x = 428.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.